10142313300 has 216 divisors, whose sum is σ = 37106125056. Its totient is φ = 2268852480.

The previous prime is 10142313299. The next prime is 10142313301. The reversal of 10142313300 is 331324101.

10142313300 is a `hidden beast` number, since 10 + 1 + 42 + 313 + 300 = 666.

10142313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10142313299) and next prime (10142313301).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142313301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 278974 + ... + 313226.

It is an arithmetic number, because the mean of its divisors is an integer number (171787616).

Almost surely, 2^10142313300 is an apocalyptic number.

10142313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553062528).

10142313300 is an abundant number, since it is smaller than the sum of its proper divisors (26963811756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10142313300 is a wasteful number, since it uses less digits than its factorization.

10142313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34327 (or 34317 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10142313300 its reverse (331324101), we get a palindrome (10473637401).

The spelling of 10142313300 in words is "ten billion, one hundred forty-two million, three hundred thirteen thousand, three hundred".